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A robot that shapes metal needs overhauling if it is out of tolerance on 4.5% of the items processed, and it is operating satisfactorily if it is off on only 0.8% of its output. A test is performed involving 50 sample items. If the sample proportion of out-of-tolerance items is greater than 0.02, the robot will be overhauled. Otherwise it will be allowed to continue operating.
(a) What is the probability that a satisfactory robot will be overhauled unnecessarily?
(b) What is the probability that a robot in need of overhauling will be left in operation?
Compute the probability of receiving three calls in a 5-minute interval of time. Compute the probability of receiving exactly 10 calls in 15 minutes.
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Use a .05 significance level to test claims that quarters manufactured with the new equipment have weights with a standard deviation less than .061
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The student is studying education, is 0.8. What is the conditional probability that the student is studying education, given that she is a woman?
Given the following situation, how would you use Megastat to test whether the population defective rate is greater than 5%? Please outline the process for the test and, if necessary, including the output from Megastat to explain your approach.
In a random sample of 150 sports cars, 60 failed emissions on the first pass. Is there sufficient evidence to indicate that the percentage of first failure for sports cars is higher than the percentage for all passenger cars?
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